Comparison Between the f-Electron and Conduction-Electron Density of States in the Falicov-Kimball Model at Low Temperature

Journal Article · Fri Feb 21 00:00:00 EST 2020 · Journal of Superconductivity and Novel Magnetism

DOI:https://doi.org/10.1007/s10948-019-05400-5· OSTI ID:1803577

Nesselrodt, R. D.  ^[1]; Canfield, J. ^[1]; Freericks, J. K. ^[1]

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1. Georgetown Univ., Washington, DC (United States)

The spinless Falicov-Kimball model is one of the simplest models of many-body physics. While the conduction-electron density of states is temperature independent in the normal state, the f -electron density of states is strongly temperature dependent—it has an orthogonality catastrophe singularity in the metallic phase and is gapped in the insulating phase. The question we address here is whether the spectral gap is the same for both electron species as T → 0. Finally, we find strong evidence to indicate that the answer is affirmative.

• Research Organization: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
• Grant/Contract Number: SC0019126
• OSTI ID: 1803577
• Journal Information: Journal of Superconductivity and Novel Magnetism, Vol. 33, Issue 8; ISSN 1557-1939
• Publisher: Springer
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Physics
Mott transition
Falicov-Kimball model
Density of states
Orthogonality catastrophe